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Home » Lisa Simpson Meme Trend? This Viral Clip Has Taken the Internet by Storm! - AMAZONAWS

Lisa Simpson Meme Trend? This Viral Clip Has Taken the Internet by Storm! - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 Let $ a_n $ be the number of $ n $-digit sequences of 3 and 7 with no two consecutive 3s.

📌 This is a Fibonacci-type recurrence:

📌 Let $ a_n = b_n + c_n $, where:

📌 $ b_n $: sequences ending in 3

📌 $ c_n $: sequences ending in 7

📌 $ b_n = c_{n-1} $ (can only append 3 if previous digit is not 3)

📌 $ c_n = a_{n-1} $ (append 7 to any valid sequence)

📌 So $ a_n = b_n + c_n = c_{n-1} + a_{n-1} $, but better to write:

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Is 39 the maximum? Yes, since 38, 37, etc., are smaller.
But confirm: could 38 be written as sum of distinct primes?
is even. Use multiple odd primes.
Try largest primes < 38: 37 + 1 â 1 not prime.
+ 2 = 39 > 38.
+ (next) too big. Try 31 + 7 = 38 â both primes, distinct â yes.
But 38 < 39 â smaller.
Similarly, 37 + 2 = 39 â better.
So 39 is valid and the largest.
Hence, the largest possible total duration is $ oxed{39} $.

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